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Title: Infra-red asymptotic dynamics of gauge invariant charged fields: QED versus QCD
Authors: d'Emilio, E.
Micciche, Salvatore
Issue Date: 1999
Abstract: The freedom one has in constructing locally gauge invariant charged fields in gauge theories is analyzed in full detail and exploited to construct, in QED, an electron field whose two-point function W(p), up to the fourth order in the coupling constant, is normalized with on-shell normalization conditions and is, nonetheless, infra-red finite; as a consequence the radiative corrections vanish on the mass shell p2 = 2 and the free field singularity is dominant, although, in contrast to quantum field theories with mass gap, the eigenvalue 2 of the mass operator is not isolated. The same construction, carried out for the quark in QCD, is not sufficient for cancellation of infra-red divergences to take place in the fourth order. The latter divergences, however, satisfy a simple factorization equation. We speculate on the scenario that could be drawn about infra-red asymptotic dynamics of QCD, should this factorization equation be true in any order of perturbation theory.
Description: This is a pre-print. It is also available at: http://xxx.soton.ac.uk/abs/hep-th/9908119.
URI: https://dspace.lboro.ac.uk/2134/835
Appears in Collections:Pre-prints (Maths)

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